Discuss the below in detail:
Q: Small toys are assembled in four stages (Centers 1, 2, and 3 and Inspection) at Bengal Toy Company. After each assembly step, the appliance is inspected or tested; if a defect is found, it must be corrected and then checked again. The assemblies arrive at a constant rate of one assembly every two minutes. The times to assemble, test, and correct defects are normally distributed. The means and standard deviations of the times to assemble, inspect, and correct defects, as well as the likelihood of an assembly error, are shown in Table. If an assembly is found defective, the defect is corrected and it is inspected again. After a defect is corrected, the likelihood of another defect being found is the same as during the ?rst inspection. We assume in this model that an assembly defect is eventually corrected and then it is passed on to the next station. Simulate for one year (2000 hours) and determine the number of good toys shipped in a year.
TABLE Process Times and Probability of Defects at Bengal
Toy Company
Assembly Time Inspect Time Correct Time
Standard Standard Standard
Center Mean Deviation Mean Deviation P(error) Mean Deviation
|
1
|
.7
|
.2
|
.2
|
.05
|
.1
|
.2
|
.05
|
|
2
|
.75
|
.25
|
.2
|
.05
|
.05
|
.15
|
.04
|
|
3
|
.8
|
.15
|
.15
|
.03
|
.03
|
.1
|
.02
|